The above is not exhaustive, and other strategies have also been pursued [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}.
Amongst loss modification techniques, a popular strategy involves augmenting the softmax cross-entropy with logit margins.
Specifically, these involve an instantiation of the loss
\(\ell _{\rm mar}( y, f(x) ) \stackrel{.}{=}\log \left[ 1+\sum \nolimits _{y^{\prime }\ne y} e^{\Delta _{yy^{\prime }} + f_{y^{\prime }}(x)-f_{y}(x)} \right],\) 
